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Finding the Fourth Proportional to 21,214.58, 31,763.55 and 16,004.66

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Solution

The fourth proportional to 21,214.58, 31,763.55 and 16,004.66 is: 23,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.58 : 31,763.55 = 16,004.66 : x
  2. Step 2: Convert to fraction form
    21,214.58/31,763.55 = 16,004.66/x
  3. Step 3: Cross multiply
    21,214.58x = 31,763.55 × 16,004.66
  4. Step 4: Simplify right side
    21,214.58x = 508,364,818.14
  5. Step 5: Solve for x
    x = 508,364,818.14/21,214.58
  6. Step 6: Final answer
    x = 23,962.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.